Whispering gallery waves in a neighborhood of a higher order zero of the curvature of the boundary

DOI10.2977/PRIMS/1195173184zbMath0707.35050OpenAlexW2002403015MaRDI QIDQ919525

Yoshihiro Shibata, Kazumi Tanuma, Gen Nakamura

Publication date: 1989

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195173184

zbMATH Keywords

Schrödinger equationreduced wave equationwhispering gallery

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

Searchlight asymptotics for high-frequency scattering by boundary inflection ⋮ The Malyuzhinets-Popov diffraction problem revisited ⋮ Contour integral solutions of the parabolic wave equation ⋮ The Work of Yoshihiro Shibata

Cites Work

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• The scattering problem for the Schrödinger equation with a potential linear in time and in space. II: Correctness, smoothness, behavior of the solution at infinity
• Problem of whispering gallery waves in a neighborhood of a simple zero of the effective curvature of the boundary

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